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The LEM exponential integrator for advection–diffusion–reaction equations

✍ Scribed by Marco Caliari; Marco Vianello; Luca Bergamaschi

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
582 KB
Volume
210
Category
Article
ISSN
0377-0427

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✦ Synopsis

We implement a second-order exponential integrator for semidiscretized advection-diffusion-reaction equations, obtained by coupling exponential-like Euler and Midpoint integrators, and computing the relevant matrix exponentials by polynomial interpolation at Leja points. Numerical tests on 2D models discretized in space by finite differences or finite elements, show that the Leja-Euler-Midpoint (LEM) exponential integrator can be up to 5 times faster than a classical second-order implicit solver.

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